Article PDF
Avoid common mistakes on your manuscript.
References
Atiyah, M.F.: Convexity and commuting Hamiltonians. Bull. Lond. Math. Soc.14, 1–15 (1982)
Calabi, E.: Extremal Kähler metrics. In: Yau, S.T. (ed.): Seminars on differential geometry. (Ann. Math. Stud., vol. 18-I, pp. 259–290) Princeton: Princeton Univ. Press 1982
Calabi, E.: Extremal Kähler metrics II. In: Chavel, I., Farkas, H.M. (eds.). Differential geometry and complex analysis, pp. 95–114. Berlin Heidelberg New York: Springer 1985
Fujiki, A.: On automorphism groups of compact Kähler manifolds. Invent. Math.44, 225–258 (1978)
Futaki, A.: Kähler-Einstein metrics and integral invariants. (Lect. Notes Math., vol. 1314) Berlin Heidelberg New York: Springer 1988
Futaki, A., Mabuchi, T.: An obstruction class and a representation of holomorphic automorphisms. In: Sunada, T. (ed.): Geometry and analysis on manifolds. (Lect. Notes Math., vol. 1339, pp. 127–141) Berlin Heidelberg New York: Springer 1988
Guillemin, V., Sternberg, S.: Convex properties of the moment mapping. Invent. Math.67, 491–513 (1982)
Hwang, A., Mabuchi, T.: A conjecture on the group of biholomorphisms of a nonsingular Fano variety. Int. J. Math. (to appear).
Kobayashi, S., Nomizu, K.: Foundations of differential geometry. (Tracts Math., vol. 15-II) New York: Wiley-Interscience 1963
Kobayashi, S., Transformation groups in differential geometry. (Ergeb. Math. Grenzgeb., Bd. 70) Berlin Heidelberg New York: Springer 1972
LeBrun, C., Simanca, S.R.: Extremal Kähler metrics and complex deformation theory. (to appear)
Mabuchi, T.: Some symplectic geometry on compact Kähler manifolds (I). Osaka J. Math.24, 227–252 (1987)
Mabuchi, T.: An algebraic character associated with the Poisson brackets. In: Ochiai, T. (ed.). Recent topics in differential and analytic geometry. (Adv. Stud. Pure Math., vol. 18-I, pp. 339–358) Tokyo and Boston: Kinokuniya and Academic Press 1990
Mabuchi, T.: 210-1 of moment maps. Proc. Japan Acad.69 (A), 392–394 (1993)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Futaki, A., Mabuchi, T. Bilinear forms and extremal Kähler vector fields associated with Kähler classes. Math. Ann. 301, 199–210 (1995). https://doi.org/10.1007/BF01446626
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01446626